Author : Mary-Ann Dimand
Publisher : Routledge
Page : 202 pages
File Size : 19,50 MB
Release : 1996-08-08
Category : Business & Economics
ISBN : 1134907796
Game Theory - the formal modelling of conflict and cooperation - first emerged as a recognized field with a publication of John von Neumann and Oskar Morgenstern's Theory of Games and Economic Behaviour in 1944. Since then, game-theoretic thinking about choice of strategies and the interdependence of people's actions has influenced all the social s
Author : Herve Moulin
Publisher : NYU Press
Page : 291 pages
File Size : 16,32 MB
Release : 1986-10-01
Category : Business & Economics
ISBN : 0814764231
The second edition of Herve Moulin's highly successful book outlines the fundamental concepts of game theory—one of the most provocative and fruitful applications of mathematics to the human sciences—and demonstrates its uses in economic and political discourse. Thoroughly revised, and now published with an accompanying workbook of 89 exercises, this rigorous yet accessible test explains the uses of game theory in largely nontechnical terms. Moulin carefully discusses the behavioral scenarios underlying the various equilibrium concepts. He provides a self-contained exposition of basic equilibrium concepts for strategic games: perfect (sophisticated) equilibrium, Nash's noncooperative example, Aumann's strong and correlated example, and several versions of the core. The author is concerned less with mathematical refinements than with helping the reader understand the strategic stories backing these concepts. HIs examples therefore give a fair account of the current game models used in economics, politics, and sociology. Addressed here are oligopoly theory, the provision of public gtoods, auctions, voting procedures, and cost allocation problems, as well as the classic prisoner's dilemma, tic-tac-toe, and Marienbad games. Extremely popular in its original French edition and in its first English version, Moulin's excellent introductory text is now, more than ever, the book to answer the essential questions about the application of game theory to the social sciences.
Author : Martin J. Osborne
Publisher : Oxford University Press, USA
Page : 533 pages
File Size : 25,13 MB
Release : 2009-01
Category : Mathematics
ISBN : 9780195322484
This text emphasizes the ideas behind modern game theory rather than their mathematical expression, but defines all concepts precisely. It covers strategic, extensive and coalitional games and includes the topics of repeated games, bargaining theory and evolutionary equilibrium.
Author : Ernesto Screpanti
Publisher : OUP Oxford
Page : 584 pages
File Size : 28,39 MB
Release : 2005-05-26
Category : Business & Economics
ISBN : 0191647764
This book provides a comprehensive overview of the development of economics from its beginnings, at the end of the Middle Ages, up to contemporary developments. It is strong on contemporary theory, providing extensive coverage of the twentieth century, particularly since the Second World War. The second edition has been revised and updated to take account of new developments in economic thought.
Author : Paul R. Thie
Publisher : John Wiley & Sons
Page : 476 pages
File Size : 28,3 MB
Release : 2011-09-15
Category : Mathematics
ISBN : 1118165454
Praise for the Second Edition: "This is quite a well-done book: very tightly organized, better-than-average exposition, and numerous examples, illustrations, and applications." —Mathematical Reviews of the American Mathematical Society An Introduction to Linear Programming and Game Theory, Third Edition presents a rigorous, yet accessible, introduction to the theoretical concepts and computational techniques of linear programming and game theory. Now with more extensive modeling exercises and detailed integer programming examples, this book uniquely illustrates how mathematics can be used in real-world applications in the social, life, and managerial sciences, providing readers with the opportunity to develop and apply their analytical abilities when solving realistic problems. This Third Edition addresses various new topics and improvements in the field of mathematical programming, and it also presents two software programs, LP Assistant and the Solver add-in for Microsoft Office Excel, for solving linear programming problems. LP Assistant, developed by coauthor Gerard Keough, allows readers to perform the basic steps of the algorithms provided in the book and is freely available via the book's related Web site. The use of the sensitivity analysis report and integer programming algorithm from the Solver add-in for Microsoft Office Excel is introduced so readers can solve the book's linear and integer programming problems. A detailed appendix contains instructions for the use of both applications. Additional features of the Third Edition include: A discussion of sensitivity analysis for the two-variable problem, along with new examples demonstrating integer programming, non-linear programming, and make vs. buy models Revised proofs and a discussion on the relevance and solution of the dual problem A section on developing an example in Data Envelopment Analysis An outline of the proof of John Nash's theorem on the existence of equilibrium strategy pairs for non-cooperative, non-zero-sum games Providing a complete mathematical development of all presented concepts and examples, Introduction to Linear Programming and Game Theory, Third Edition is an ideal text for linear programming and mathematical modeling courses at the upper-undergraduate and graduate levels. It also serves as a valuable reference for professionals who use game theory in business, economics, and management science.
Author : Tim Roughgarden
Publisher : Cambridge University Press
Page : 356 pages
File Size : 12,77 MB
Release : 2016-08-30
Category : Computers
ISBN : 1316781178
Computer science and economics have engaged in a lively interaction over the past fifteen years, resulting in the new field of algorithmic game theory. Many problems that are central to modern computer science, ranging from resource allocation in large networks to online advertising, involve interactions between multiple self-interested parties. Economics and game theory offer a host of useful models and definitions to reason about such problems. The flow of ideas also travels in the other direction, and concepts from computer science are increasingly important in economics. This book grew out of the author's Stanford University course on algorithmic game theory, and aims to give students and other newcomers a quick and accessible introduction to many of the most important concepts in the field. The book also includes case studies on online advertising, wireless spectrum auctions, kidney exchange, and network management.
Author : Allen B. MacKenzie
Publisher : Springer Nature
Page : 76 pages
File Size : 34,92 MB
Release : 2022-06-01
Category : Technology & Engineering
ISBN : 3031016726
The application of mathematical analysis to wireless networks has met with limited success, due to the complexity of mobility and traffic models, coupled with the dynamic topology and the unpredictability of link quality that characterize such networks. The ability to model individual, independent decision makers whose actions potentially affect all other decision makers makes game theory particularly attractive to analyze the performance of ad hoc networks. Game theory is a field of applied mathematics that describes and analyzes interactive decision situations. It consists of a set of analytical tools that predict the outcome of complex interactions among rational entities, where rationality demands a strict adherence to a strategy based on perceived or measured results. In the early to mid-1990's, game theory was applied to networking problems including flow control, congestion control, routing and pricing of Internet services. More recently, there has been growing interest in adopting game-theoretic methods to model today's leading communications and networking issues, including power control and resource sharing in wireless and peer-to-peer networks. This work presents fundamental results in game theory and their application to wireless communications and networking. We discuss normal-form, repeated, and Markov games with examples selected from the literature. We also describe ways in which learning can be modeled in game theory, with direct applications to the emerging field of cognitive radio. Finally, we discuss challenges and limitations in the application of game theory to the analysis of wireless systems. We do not assume familiarity with game theory. We introduce major game theoretic models and discuss applications of game theory including medium access, routing, energy-efficient protocols, and others. We seek to provide the reader with a foundational understanding of the current research on game theory applied to wireless communications and networking.
Author : Debraj Ray
Publisher : Oxford University Press
Page : 336 pages
File Size : 15,81 MB
Release : 2007-11
Category : Business & Economics
ISBN : 019920795X
Drawing upon and extending his inaugural Lipsey Lectures, Debraj Ray looks at coalition formation from the perspective of game theory. Ray brings together developments in both cooperative and noncooperative game theory to study the analytics of coalition formation and binding agreements.
Author : Morton D. Davis
Publisher : Courier Corporation
Page : 290 pages
File Size : 48,85 MB
Release : 2012-05-11
Category : Mathematics
ISBN : 0486135152
This fascinating, newly revised edition offers an overview of game theory, plus lucid coverage of two-person zero-sum game with equilibrium points; general, two-person zero-sum game; utility theory; and other topics.
Author : Heinz D. Kurz
Publisher : Columbia University Press
Page : 221 pages
File Size : 42,76 MB
Release : 2016-05-03
Category : Business & Economics
ISBN : 0231540752
In this concise yet comprehensive history, Heinz D. Kurz traces the long arc of economic thought from its emergence in ancient Greece to its systematic presentation among the classical thinkers of the late eighteenth and early nineteenth centuries to the influential work of scholars such as Paul Samuelson and Kenneth J. Arrow. With a keen eye for how economic insights are acquired, lost, and reborn, Kurz focuses on the dynamic individuals who give old ideas new life and the historical events that provoke different approaches and theories. Over the course of this journey, Kurz explains what Adam Smith meant by the "invisible hand"; how Karl Marx's "law of motion" works in capitalist economies; the roots of the Austrian economists' emphasis on the problems of information, incomplete knowledge, and uncertainty; John Maynard Keynes's principle of effective demand and economic stabilization; and the insights and challenges offered by growth theory, welfare economics, game theory, and more. He concludes with a deft summation of world economists' major concerns today and their critical relation to world events.
